Question

factorise (x-1)(x+1)(x^2+1)(x^4+1)​

Answer 1

Answer:

(x⁸-1)

Step-by-step explanation:

(x-1)(x+1)(x²+1)(x⁴+1)

in this question, to we use the identity (a+b)(a-b)=(a²-b²) to factorise this polynomial.

therefore, (x-1)(x+1)(x²+1)(x⁴+1)

=(x²-1)(x²+1)(x⁴+1)

=(x⁴-1)(x⁴+1)

=(x⁸-1)

hope this helps

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